Tell her that you can't get any work done in a study lounge/library and you want to study in your room. If you go to the study lounge its gonna be harder to convince her to switch locations and if she has any interest at all in hooking up with you, she won't reject.
Everytime ive hooked up with a girl while "studying", we've never actually studied. If she wants to study with you, it could means two things: she likes you or she thinks you're smart and genuinely wants to study. In other words, just use the studying as an excuse to chill with her and if she starts getting annoyed then you know she's not into you.
Also if you're with a girl alone in your room and you don't know how to escalate then you should consider killing yourself lol